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Cut-by-curves criterion for the overconvergence of p-adic differential equations

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Abstract

In this paper, we prove a ‘cut-by-curves criterion’ for the overconvergence of integrable connections on certain smooth rigid analytic spaces and certain smooth varieties over p-adic fields.

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Authors and Affiliations

  1. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan

    Atsushi Shiho

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  1. Atsushi Shiho
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Correspondence to Atsushi Shiho.

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Shiho, A. Cut-by-curves criterion for the overconvergence of p-adic differential equations. manuscripta math. 132, 517–537 (2010). https://doi.org/10.1007/s00229-010-0360-6

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  • DOI: https://doi.org/10.1007/s00229-010-0360-6

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